Title :
An improved (G′ over G)- expansion method and its application to the (3+1)-dimensional KdV equation
Author :
Tao, Sixing ; Xia, Tiecheng
Author_Institution :
Dept. of Math., Shangqiu Normal Univ., Shangqiu, China
Abstract :
In this paper, an improved (G´/G)- expansion method is used to seek more general exact solutions of (3+1)-dimensional KdV equation. By using symbolic computation, seventeen non-traveling wave solutions are obtained including hyperbolic function solutions, trigonometric function solutions and rational solutions. The proposed method can be used for many other nonlinear evolution equations in mathematical physics.
Keywords :
Korteweg-de Vries equation; hyperbolic equations; nonlinear equations; 3+1-dimensional KdV Equation; expansion method; general exact solutions; hyperbolic function solutions; mathematical physics; nonlinear evolution equations; nontraveling wave solutions; rational solutions; symbolic computation; trigonometric function solutions; Differential equations; Electronic mail; Physics; Plasmas; Polynomials;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765254